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On connected Boolean functions - MaRDI portal

On connected Boolean functions (Q1961460)

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scientific article; zbMATH DE number 1389877
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English
On connected Boolean functions
scientific article; zbMATH DE number 1389877

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    On connected Boolean functions (English)
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    14 February 2000
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    Various classes of Boolean functions are introduced: connected, strongly connected, geodetic, convex, strongly convex and concordant. They are characterized by some properties of the subgraph of the Boolean hypercube induced by the (false) true points of a function. The relationships between these properties and the DNF representation of a Boolean function as well as the inclusions between these classes are studied.
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    computational complexity
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    Boolean function
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    monotone
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    unate
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    geodetic
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    subgraph of the Boolean hypercube
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    DNF representation
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